Simple random sample

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In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population).wikipedia
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Sample (statistics)

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In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population).
Several types of random samples are simple random samples, systematic samples, stratified random samples, and cluster random samples.

Exchangeable random variables

exchangeabilityexchangeableexchangeable sequence
Sampling done without replacement is no longer independent, but still satisfies exchangeability, hence many results still hold.
Exchangeable sequences of random variables arise in cases of simple random sampling.

Stratified sampling

stratificationstratifiedstratified random sampling
If these conditions do not hold, stratified sampling or cluster sampling may be a better choice.
Then simple random sampling or systematic sampling is applied within each stratum.

Cluster sampling

clustercluster random samplescluster sample
If these conditions do not hold, stratified sampling or cluster sampling may be a better choice.
In this sampling plan, the total population is divided into these groups (known as clusters) and a simple random sample of the groups is selected.

Reservoir sampling

Reservoir Sampling with Random Sort
J. Vitter in 1985 proposed reservoir sampling algorithm which is often widely used.
Reservoir sampling is a family of randomized algorithms for choosing a simple random sample without replacement of k items from a population of unknown size n in a single pass over the items.

Hypergeometric distribution

multivariate hypergeometric distributionhypergeometrichypergeometric test
For a simple random sample without replacement, one obtains a hypergeometric distribution.

Systematic sampling

systematic methodsystematic random samplingsystematic samples
This process and technique is known as simple random sampling, and should not be confused with systematic random sampling.
This makes systematic sampling functionally similar to simple random sampling (SRS).

Nonprobability sampling

purposive samplingnon-probability samplingjudgmental sampling
Probability sampling, or random sampling, is a sampling technique in which the probability of getting any particular sample may be calculated.

Statistics

statisticalstatistical analysisstatistician
In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population).

Subset

supersetproper subsetsubsets
In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population).

Individual

individualityindividualshuman identity
In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population).

Set (mathematics)

setsetsmathematical set
In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population).

Statistical population

populationsubpopulationsubpopulations
In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population).

Randomization

randomizedrandomizingrandomisation
Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at any stage during the sampling process, and each subset of k individuals has the same probability of being chosen for the sample as any other subset of k individuals.

Probability

probabilisticprobabilitieschance
Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at any stage during the sampling process, and each subset of k individuals has the same probability of being chosen for the sample as any other subset of k individuals.

Sampling frame

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It requires a complete sampling frame, which may not be available or feasible to construct for large populations.

Binomial distribution

binomialbinomial modelBinomial probability
For a simple random sample with replacement, the distribution is a binomial distribution.

Monte Carlo method

Monte CarloMonte Carlo simulationMonte Carlo methods
Monte Carlo methods, or Monte Carlo experiments, are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical results.

Wikipedia

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In 2005, Nature published a peer review comparing 42 hard science articles from Encyclopædia Britannica and Wikipedia and found that Wikipedia's level of accuracy approached that of Britannica, although critics suggested that it might not have fared so well in a similar study of a random sampling of all articles or one focused on social science or contentious social issues.

German tank problem

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In the statistical theory of estimation, the German tank problem consists of estimating the maximum of a discrete uniform distribution from sampling without replacement.

Mathematical statistics

mathematical statisticianstatistics mathematical statistics
Statistical data collection is concerned with the planning of studies, especially with the design of randomized experiments and with the planning of surveys using random sampling.

Lot quality assurance sampling

Lot quality assurance sampling (LQAS) is a random sampling methodology, originally developed in the 1920s as a method of quality control in industrial production.